Abstract
In this paper, we investigate a spatialS–I model with non-linearincidence rates βSpIq, and obtain the conditions for transcritical bifurcation, Hopf bifurcation and Turingbifurcation. In particular, the exact Turing domain is found in the parameter space. Forparameters are in that domain, a series of numerical simulations reveal that the model has richdynamics. In our previous paper (Liu and Jin, 2007 J. Stat. Mech. P05002), we considered anepidemic model with constant rate of removal of the infectives and the mass action incidenceβSI, in which only a stripe pattern was observed. However, in this paper, we obtain not only astripe-like pattern but also a spot pattern, or coexistence of the two. The results obtainedextend well the finding of pattern formation in the epidemic model and may well explainthe field observed in some areas.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
